# How do you find the x and y intercepts for y= -4 - 4x?

Jun 16, 2018

x-intercept $= - 1$, y-intercept $= - 4$

#### Explanation:

Intercept form of linear equation is $\frac{x}{a} + \frac{y}{b} = 1$

Given $y = - 4 - 4 x$

$4 x + y = - 4$

$\frac{x}{-} 1 + \frac{y}{-} 4 = 1$ is the intercept form equation.

x-intercept $= - 1$, y-intercept $= - 4$

Jun 16, 2018

$\text{x-intercept "=-1," y-intercept } = - 4$

#### Explanation:

$\text{to find the intercepts, that is where the graph crosses}$
$\text{the x and y axes}$

• " let x = 0, in the equation for y-intercept"

• " let y = 0, in the equation for x-intercept"

$x = 0 \Rightarrow y = - 4 - 0 \Rightarrow y = - 4 \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow - 4 - 4 x = 0 \Rightarrow x = - 1 \leftarrow \textcolor{red}{\text{x-intercept}}$
graph{(y+4x+4)((x-0)^2+(y+4)^2-0.04)((x+1)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}